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Finding the Third Proportional to 133,527 and 207,949.50

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Solution

The third proportional to 133,527 and 207,949.50 is: 323,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,527 : 207,949.50 = 207,949.50 : x
  2. Step 2: Convert to fraction form
    133,527/207,949.50 = 207,949.50/x
  3. Step 3: Cross multiply
    133,527x = 207,949.50 × 207,949.50
  4. Step 4: Simplify right side
    133,527x = 43,242,994,550.25
  5. Step 5: Solve for x
    x = 43,242,994,550.25/133,527
  6. Step 6: Final answer
    x = 323,852.06

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.